Online GCD Calculator is useful to find the GCD of 500, 488, 253, 416 quickly. Get the easiest ways to solve the greatest common divisor of 500, 488, 253, 416 i.e 1 in different methods as follows.
Given Input numbers are 500, 488, 253, 416
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 253 :
The positive integer divisors of 253 that completely divides 253 are.
1, 11, 23, 253
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
GCD of numbers is the greatest common divisor
So, the GCD (500, 488, 253, 416) = 1.
Given numbers are 500, 488, 253, 416
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 253 are 11 x 23
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 500, 488, 253, 416
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 488) = 61000
GCD(500, 488) = ( 500 x 488 ) / 61000
= 500 / 488
= 500
Step2:
LCM(4, 253) = 1012
GCD(4, 253) = ( 4 x 253 ) / 1012
= 4 / 253
= 4
Step3:
LCM(1, 416) = 416
GCD(1, 416) = ( 1 x 416 ) / 416
= 1 / 416
= 1
So, Greatest Common Divisor of 500, 488, 253, 416 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 488, 253, 416
The greatest common divisor of numbers 500, 488, 253, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 488, 253, 416 is 1.
1. What is the GCD of 500, 488, 253, 416?
GCD of given numbers 500, 488, 253, 416 is 1
2. How to calculate the greatest common divisor of 500, 488, 253, 416?
We can find the highest common divisor of 500, 488, 253, 416 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 500, 488, 253, 416 i.e 1.
3. How can I use the GCD of 500, 488, 253, 416Calculator?
Out the numbers 500, 488, 253, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.